Vector- and Tensor-Valued Descriptors for Spatial Patterns

  • Claus Beisbart
  • Robert Dahlke
  • Klaus Mecke
  • Herbert Wagner
Part of the Lecture Notes in Physics book series (LNP, volume 600)


Higher-rank Minkowski valuations are efficient means of describing the geometry and connectivity of spatial patterns. We show how to extend the framework of the scalar Minkowski functionals to vector- and tensor-valued measures. The versatility of these measures is demonstrated by using simple toy models as well as real data.


Convex Body Spiral Galaxy Galaxy Cluster Antibonding State Minkowski Functional 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Claus Beisbart
    • 1
    • 2
  • Robert Dahlke
    • 2
  • Klaus Mecke
    • 3
    • 4
  • Herbert Wagner
    • 2
  1. 1.Nuclear & Astrophysics LaboratoryUniversity of OxfordOxfordUK
  2. 2.Sektion PhysikLudwig-Maximilians-UniversitätMünchenGermany
  3. 3.Max-Planck-Institut für MetallforschungStuttgartGermany
  4. 4.Institut für Theoretische und Angewandte Physik, Fakultät für PhysikUniversität StuttgartStuttgartGermany

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